An Empty Spice Bottle Has an Inner Volume of 1 $\rho$

Multiple Choice

An empty spice bottle has an inner volume of 1.31 *10 ^{- 4} m³.It has a mass of 112 g when filled with air,and it displaces 1.63 *10 ^{- 4} m³ of water when fully submerged.What volume of mercury ( $\rho$ _Hg = 13.6*10³ kg/m³) must be added to the empty bottle so that it will just submerge?

A) 3.75 cm³
B) 12.0 cm³
C) 101 cm³
D) 147 cm³
E) 237 cm³